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Finding the Third Proportional to 623,766 and 1,346,970

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Solution

The third proportional to 623,766 and 1,346,970 is: 2,908,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,766 : 1,346,970 = 1,346,970 : x
  2. Step 2: Convert to fraction form
    623,766/1,346,970 = 1,346,970/x
  3. Step 3: Cross multiply
    623,766x = 1,346,970 × 1,346,970
  4. Step 4: Simplify right side
    623,766x = 1,814,328,180,900
  5. Step 5: Solve for x
    x = 1,814,328,180,900/623,766
  6. Step 6: Final answer
    x = 2,908,667.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.